Two objects of same material are travelling
near you. Object A is a 1.9 kg mass traveling
8 m/s; object B is a 2 kg mass traveling 5 m/s.
Which object would make you feel worse if
you are hit by it?
Answer: The object with the greatest
momentum.
Object A: M*V = 1.9 * 8 = 15.2 kg-m/s
Object B: M*V = 2.0 * 5 = 10.0 kg-m/s
To determine which object would make you feel worse if you are hit by it, we need to consider the concept of momentum. Momentum is calculated by the product of an object's mass and velocity.
The momentum of an object (p) is given by the formula: p = m * v, where m is the mass of the object and v is its velocity.
Let's calculate the momenta of object A and object B.
For object A:
Mass (m1) = 1.9 kg
Velocity (v1) = 8 m/s
So, the momentum of object A (p1) = m1 * v1 = 1.9 kg * 8 m/s = 15.2 kg·m/s.
For object B:
Mass (m2) = 2 kg
Velocity (v2) = 5 m/s
So, the momentum of object B (p2) = m2 * v2 = 2 kg * 5 m/s = 10 kg·m/s.
Now, comparing the momenta, we find that object A has a higher momentum (15.2 kg·m/s) compared to object B (10 kg·m/s).
Since momentum is a measure of how difficult it is to stop an object, the higher momentum indicates a greater force of impact. Therefore, if you are hit by object A, you would feel worse than if you were hit by object B.
To determine which object would make you feel worse if you are hit by it, we need to consider the concept of momentum. Momentum is the product of an object's mass and velocity. The larger the momentum, the more force an object will exert on you upon impact.
To calculate the momentum of an object, we use the formula:
Momentum (p) = mass (m) x velocity (v)
Let's calculate the momentum of both objects:
For object A:
Mass (m) = 1.9 kg
Velocity (v) = 8 m/s
Momentum (p) = 1.9 kg x 8 m/s = 15.2 kg·m/s
For object B:
Mass (m) = 2 kg
Velocity (v) = 5 m/s
Momentum (p) = 2 kg x 5 m/s = 10 kg·m/s
Comparing the momentum values, we can see that object A has a higher momentum (15.2 kg·m/s) compared to object B (10 kg·m/s). Therefore, if you are hit by object A, you would feel worse due to its higher momentum and the larger force it would exert on you.